Answer:
Volume of the solid = 480.42m³
Explanation:
To sov this question, we'll have to break the solid into different shapes of solid to solve it easily.
Volume of a cylinder = πr²h
volume of a hemisphere = 4/3πr³
Volume of a cone = ⅓πr²h
π = 3.14
r = 3m
h(cylinder) = 11m
Slant height of cone = 3√(2)
Height of cone = ?
To find height of cone, we can use pythagorean theorem
a² = b² + c²
[ 3√(2)]² = 3² + c²
9*2 = 9 + c²
C² = 18 - 9
C = 9m
Height of the cone = 9m
Volume of a cylinder = πr²h
V = 3.14 * 3² * 11
V = 310.86m³
Volume of the cylnder = 310.86m³
Volume of the hemisphere = 4/3πr³
V = 3.14 * 3³
V = 84.78m³
Volume of the hemisphere = 84.78m³
Volume of the cone = ⅓πr²h
V = ⅓ * 3.14 * 3² * 9
V = 84.78
Volume of the cone = 84.78m³
Volume of the solid = volume of cone + volume of hemisphere + volume of cylinder
Volume of the solid = 84.78 + 84.78 + 310.86
Volume = 480.42m³